Correlations of Vorticity Inside a Coherent Vortex

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Abstract

We investigate fluctuations of vorticity inside a coherent vortex generated by the inverse energy cascade in two-dimensional turbulence. Temporal and spatial correlations can be characterized by the pair correlation function. The interaction of fluctuations leads to a nonzero third moment of vorticity. We analyze the pair correlation function and the third moment using a model in which the pumping is short-correlated in time and derive explicit expressions for the Gaussian spatial correlation function for the pumping force.

About the authors

I. V Kolokolov

Landau Institute of Physics, Russian Academy of Sciences; National Research University “Higher School of Economics”

Email: igor.kolokolov@gmail.com
142432, Chernogolovka, Moscow oblast, Russia; 101000, Moscow, Russia

V. V Lebedev

Landau Institute of Physics, Russian Academy of Sciences; National Research University “Higher School of Economics”

Email: igor.kolokolov@gmail.com
142432, Chernogolovka, Moscow oblast, Russia; 101000, Moscow, Russia

M. M Tumakova

National Research University “Higher School of Economics”

Author for correspondence.
Email: igor.kolokolov@gmail.com
190008, St. Petersburg, Russia

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